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pro vyhledávání: '"Wilber, J A"'
In this paper, we extend the discrete-to-continuum procedure we developed in our previous work to derive a continuum variational model for a hexagonal twisted bilayer material in which one layer is fixed. We use a discrete energy containing elastic t
Externí odkaz:
http://arxiv.org/abs/2209.02622
Publikováno v:
In Journal of the Mechanics and Physics of Solids April 2023 173
In this paper we propose a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The two lattices have slightly different lattice parameters and there is a small relative rotat
Externí odkaz:
http://arxiv.org/abs/1708.00974
Publikováno v:
Phys. Rev. E 96, 033003 (2017)
In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains represent a cross-section of a three-dimensional system consisting of a gr
Externí odkaz:
http://arxiv.org/abs/1705.00072
This work is motivated by discrete-to-continuum modeling of the mechanics of a graphene sheet, which is a single-atom thick macromolecule of carbon atoms covalently bonded to form a hexagonal lattice. The strong covalent bonding makes the sheet essen
Externí odkaz:
http://arxiv.org/abs/1604.07879
Autor:
Wilber, J. Patrick
We formulate a nonlinear continuum model of a graphene sheet supported by a flat rigid substrate. The sheet is parallel to the substrate and loaded on a pair of opposite edges. A typical cross-section of the sheet is modeled as an elastica. We use el
Externí odkaz:
http://arxiv.org/abs/1002.0724
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2018 Jan . 474(2209), 1-23.
Externí odkaz:
https://www.jstor.org/stable/26582070
Autor:
Wilber J. Perez-FLores
Publikováno v:
Ciencia, Tecnología y Salud, Vol 3, Iss 2 (2017)
El propósito del estudio es evaluar la eficiencia de remoción de contaminantes de aguas residuales domésticas (ARD) usando el suelo como tratamiento, para utilizarlo como una alternativa al alcance de poblaciones sin acceso a sistemas de alcantari
Externí odkaz:
https://doaj.org/article/1bef3e54fc41491db820d796ac6be91b
Publikováno v:
In International Journal of Solids and Structures 15 December 2012 49(26):3681-3692
Autor:
ANTMAN, STUART S., WILBER, J. PATRICK
Publikováno v:
Quarterly of Applied Mathematics, 2007 Sep 01. 65(3), 471-498.
Externí odkaz:
https://www.jstor.org/stable/43638783